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Finding the Third Proportional to 7,572.09 and 15,521.91

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Solution

The third proportional to 7,572.09 and 15,521.91 is: 31,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.09 : 15,521.91 = 15,521.91 : x
  2. Step 2: Convert to fraction form
    7,572.09/15,521.91 = 15,521.91/x
  3. Step 3: Cross multiply
    7,572.09x = 15,521.91 × 15,521.91
  4. Step 4: Simplify right side
    7,572.09x = 240,929,573.63
  5. Step 5: Solve for x
    x = 240,929,573.63/7,572.09
  6. Step 6: Final answer
    x = 31,818.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.